SSC CGL 19 Oct 2014 Shift 2 Paper

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Question : 125 of 200

Marks: +1, -0

If x =

√5

+ 2 , then the value

{2x^2-3x-2}/{3x^2-4x-3}

is equal to

0.185
0.525
0.625
0.785

Solution:

=

{2(√5+2)^2-3(√5+2)-2}/{3(√5+2)^2-4(√5+2)-3}

=

{2(5+4+4√5)-3(√5+2)-2}/{3(5+4+4√5)-4(√5+2)-3}

=

{18+8√5-3√5-6-2}/{27+12√5-4√5-8-3}

=

{10+5√5}/{16+8√5}

=

{5(2+√5)}/{8(2+√5)}

=

5/8

= 0.625

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